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Finite element method. --- Lagrange multipliers. --- Stress functions. --- Boundary value problems. --- Shells (structural forms)
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Energies SI Book "Selected Papers from the ICEUBI2019 – International Congress on Engineering – Engineering for Evolution", groups six papers into fundamental engineering areas: Aeronautics and Astronautics, and Electrotechnical and Mechanical Engineering. ICEUBI—International Congress on Engineering is organized every two years by the Engineering Faculty of Beira Interior University, Portugal, promoting engineering in society through contact among researchers and practitioners from different fields of engineering, and thus encouraging the dissemination of engineering research, innovation, and development. All selected papers are interrelated with energy topics (fundamentals, sources, exploration, conversion, and policies), and provide relevant data for academics, research-focused practitioners, and policy makers.
Technology: general issues --- HVAC --- water-cooled condenser --- air-cooled condenser --- evaporative --- TWI --- turbulence modeling --- supercritical injection --- Liquid Rocket Engines --- energy saving and efficiency --- aerodynamic coefficients --- propulsive efficiency --- bioenergetics --- biomimetics --- grid-tied inverter --- grey wolf optimizer --- PR controllers --- LCL filter --- passive damping --- propeller --- aircraft --- turboprop --- flight efficiency --- flight speed --- hydro-thermal coordination --- Lagrangian relaxation --- Lagrangian dual problem --- Lagrange multipliers --- subgradient methods --- step-size update algorithm
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Energies SI Book "Selected Papers from the ICEUBI2019 – International Congress on Engineering – Engineering for Evolution", groups six papers into fundamental engineering areas: Aeronautics and Astronautics, and Electrotechnical and Mechanical Engineering. ICEUBI—International Congress on Engineering is organized every two years by the Engineering Faculty of Beira Interior University, Portugal, promoting engineering in society through contact among researchers and practitioners from different fields of engineering, and thus encouraging the dissemination of engineering research, innovation, and development. All selected papers are interrelated with energy topics (fundamentals, sources, exploration, conversion, and policies), and provide relevant data for academics, research-focused practitioners, and policy makers.
Technology: general issues --- HVAC --- water-cooled condenser --- air-cooled condenser --- evaporative --- TWI --- turbulence modeling --- supercritical injection --- Liquid Rocket Engines --- energy saving and efficiency --- aerodynamic coefficients --- propulsive efficiency --- bioenergetics --- biomimetics --- grid-tied inverter --- grey wolf optimizer --- PR controllers --- LCL filter --- passive damping --- propeller --- aircraft --- turboprop --- flight efficiency --- flight speed --- hydro-thermal coordination --- Lagrangian relaxation --- Lagrangian dual problem --- Lagrange multipliers --- subgradient methods --- step-size update algorithm
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Energies SI Book "Selected Papers from the ICEUBI2019 – International Congress on Engineering – Engineering for Evolution", groups six papers into fundamental engineering areas: Aeronautics and Astronautics, and Electrotechnical and Mechanical Engineering. ICEUBI—International Congress on Engineering is organized every two years by the Engineering Faculty of Beira Interior University, Portugal, promoting engineering in society through contact among researchers and practitioners from different fields of engineering, and thus encouraging the dissemination of engineering research, innovation, and development. All selected papers are interrelated with energy topics (fundamentals, sources, exploration, conversion, and policies), and provide relevant data for academics, research-focused practitioners, and policy makers.
HVAC --- water-cooled condenser --- air-cooled condenser --- evaporative --- TWI --- turbulence modeling --- supercritical injection --- Liquid Rocket Engines --- energy saving and efficiency --- aerodynamic coefficients --- propulsive efficiency --- bioenergetics --- biomimetics --- grid-tied inverter --- grey wolf optimizer --- PR controllers --- LCL filter --- passive damping --- propeller --- aircraft --- turboprop --- flight efficiency --- flight speed --- hydro-thermal coordination --- Lagrangian relaxation --- Lagrangian dual problem --- Lagrange multipliers --- subgradient methods --- step-size update algorithm
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This book is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical foundations of BRST theory are then laid out with a review of the necessary concepts from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. The authors then proceed to the canonical quantization of gauge systems, first without ghosts (reduced phase space quantization, Dirac method) and second in the BRST context (quantum BRST cohomology). The path integral is discussed next. The analysis covers indefinite metric systems, operator insertions, and Ward identities. The antifield formalism is also studied and its equivalence with canonical methods is derived. The examples of electromagnetism and abelian 2-form gauge fields are treated in detail. The book gives a general and unified treatment of the subject in a self-contained manner. Exercises are provided at the end of each chapter, and pedagogical examples are covered in the text.
Gauge fields (Physics) --- Abelian constraints. --- Berezin integral. --- Canonical Hamiltonian. --- Fourier transformation. --- Gauss law. --- Gaussian average. --- Green functions. --- Heisenberg algebra. --- Jacobi identity. --- Kunneth formula. --- Lagrange multipliers. --- Pauli matrices. --- antighost number. --- auxiliary fields. --- boundary operator. --- cohomology. --- convolution. --- derivations. --- differential. --- doublet. --- effective action. --- extended action. --- exterior product. --- harmonic states. --- involution. --- left derivatives. --- local commutativity. --- nontrivial cycle. --- superdomain.
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A common set of mathematical tools underlies dynamic optimization, dynamic estimation, and filtering. In Recursive Models of Dynamic Linear Economies, Lars Peter Hansen and Thomas Sargent use these tools to create a class of econometrically tractable models of prices and quantities. They present examples from microeconomics, macroeconomics, and asset pricing. The models are cast in terms of a representative consumer. While Hansen and Sargent demonstrate the analytical benefits acquired when an analysis with a representative consumer is possible, they also characterize the restrictiveness of assumptions under which a representative household justifies a purely aggregative analysis.Hansen and Sargent unite economic theory with a workable econometrics while going beyond and beneath demand and supply curves for dynamic economies. They construct and apply competitive equilibria for a class of linear-quadratic-Gaussian dynamic economies with complete markets. Their book, based on the 2012 Gorman lectures, stresses heterogeneity, aggregation, and how a common structure unites what superficially appear to be diverse applications. An appendix describes MATLAB programs that apply to the book's calculations.
Economics --- Mathematical models. --- Engel curves. --- Gorman aggregation. --- Lagrange multipliers. --- Lagrangian. --- MATLAB programs. --- aggregate consumption. --- aggregation. --- allocation. --- approximation. --- asset pricing. --- autoregressive representations. --- canonical representation. --- cattle. --- commodity space. --- competitive equilibia. --- competitive equilibria. --- competitive equilibrium allocation. --- competitive equilibrium. --- complete markets. --- consumer preferences. --- consumption. --- decentralized economy. --- demand function. --- doubling algorithm. --- dynamic estimation. --- dynamic optimization. --- dynamic programming. --- econometric estimation. --- econometrics. --- economic environment. --- economic equilibrium. --- economic theory. --- economy. --- endowments. --- fast algorithms. --- filtering. --- heterogeneous households. --- household preferences. --- household technologies. --- housing. --- invariant subspace methods. --- law of motion. --- laws of motion. --- linear regulator problem. --- linear stochastic difference equation. --- linear-quadratic optimal control. --- linear-quadratic-Gaussian-dynamic economies. --- macroeconomics. --- martingale difference sequence. --- matrices. --- microeconomics. --- multiple goods. --- occupational choice. --- optimal decision rule. --- partial equilibrium models. --- periodic economies. --- periodicity. --- permanent income model. --- preference ordering. --- preferences model. --- price system. --- random disturbance. --- rational addiction model. --- representative firm. --- resource allocation. --- seasonality model. --- social planning. --- spectral density. --- state variables. --- stochastic Lagrange multipliers. --- storage technology. --- taste. --- technology shock. --- time series. --- valuation. --- value function. --- vector first-order. --- welfare economics.
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What does the path taken by a ray of light share with the trajectory of a thrown baseball and the curve of a wheat stalk bending in the breeze? Each is the subject of a different study yet all are optimal shapes; light rays minimize travel time while a thrown baseball minimizes action. All natural curves and shapes, and many artificial ones, manifest such "perfect form" because physical principles can be expressed as a statement requiring some important physical quantity to be mathematically maximum, minimum, or stationary. Perfect Form introduces the basic "variational" principles of classical physics (least time, least potential energy, least action, and Hamilton's principle), develops the mathematical language most suited to their application (the calculus of variations), and presents applications from the physics usually encountered in introductory course sequences. The text gradually unfolds the physics and mathematics. While other treatments postulate Hamilton's principle and deduce all results from it, Perfect Form begins with the most plausible and restricted variational principles and develops more powerful ones through generalization. One selection of text and problems even constitutes a non-calculus of variations introduction to variational methods, while the mathematics more generally employed extends only to solving simple ordinary differential equations. Perfect Form is designed to supplement existing classical mechanics texts and to present variational principles and methods to students who approach the subject for the first time.
Calculus of variations. --- Mathematical physics. --- Aristotelean causes. --- Aristotle. --- Bernoulli, Johann. --- Descartes, Rene. --- Jacobi, C.G J. --- Kepler's Third Law. --- Lagrange multipliers. --- Lagrangian. --- Principia. --- brachistochrone. --- calculus of variations. --- cantilever model. --- effective potential. --- efficient cause. --- final cause. --- focal length. --- generalized coordinates. --- geometrical optics. --- harmonic motion. --- holonomic constraints. --- ignorable coordinate. --- isopermetric constraints. --- least resistance. --- meridional rays. --- mirages. --- natural boundary conditions. --- optical path length. --- orbit shapes. --- projectile trajectory. --- spherical pendulum. --- true rays.
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In the last two decades, the understanding of complex dynamical systems underwent important conceptual shifts. The catalyst was the infusion of new ideas from the theory of critical phenomena (scaling laws, renormalization group, etc.), (multi)fractals and trees, random matrix theory, network theory, and non-Shannonian information theory. The usual Boltzmann–Gibbs statistics were proven to be grossly inadequate in this context. While successful in describing stationary systems characterized by ergodicity or metric transitivity, Boltzmann–Gibbs statistics fail to reproduce the complex statistical behavior of many real-world systems in biology, astrophysics, geology, and the economic and social sciences.The aim of this Special Issue was to extend the state of the art by original contributions that could contribute to an ongoing discussion on the statistical foundations of entropy, with a particular emphasis on non-conventional entropies that go significantly beyond Boltzmann, Gibbs, and Shannon paradigms. The accepted contributions addressed various aspects including information theoretic, thermodynamic and quantum aspects of complex systems and found several important applications of generalized entropies in various systems.
Research & information: general --- Mathematics & science --- ecological inference --- generalized cross entropy --- distributional weighted regression --- matrix adjustment --- entropy --- critical phenomena --- renormalization --- multiscale thermodynamics --- GENERIC --- non-Newtonian calculus --- non-Diophantine arithmetic --- Kolmogorov–Nagumo averages --- escort probabilities --- generalized entropies --- maximum entropy principle --- MaxEnt distribution --- calibration invariance --- Lagrange multipliers --- generalized Bilal distribution --- adaptive Type-II progressive hybrid censoring scheme --- maximum likelihood estimation --- Bayesian estimation --- Lindley’s approximation --- confidence interval --- Markov chain Monte Carlo method --- Rényi entropy --- Tsallis entropy --- entropic uncertainty relations --- quantum metrology --- non-equilibrium thermodynamics --- variational entropy --- rényi entropy --- tsallis entropy --- landsberg—vedral entropy --- gaussian entropy --- sharma—mittal entropy --- α-mutual information --- α-channel capacity --- maximum entropy --- Bayesian inference --- updating probabilities --- n/a --- Kolmogorov-Nagumo averages --- Lindley's approximation --- Rényi entropy --- rényi entropy --- landsberg-vedral entropy --- sharma-mittal entropy
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In the last two decades, the understanding of complex dynamical systems underwent important conceptual shifts. The catalyst was the infusion of new ideas from the theory of critical phenomena (scaling laws, renormalization group, etc.), (multi)fractals and trees, random matrix theory, network theory, and non-Shannonian information theory. The usual Boltzmann–Gibbs statistics were proven to be grossly inadequate in this context. While successful in describing stationary systems characterized by ergodicity or metric transitivity, Boltzmann–Gibbs statistics fail to reproduce the complex statistical behavior of many real-world systems in biology, astrophysics, geology, and the economic and social sciences.The aim of this Special Issue was to extend the state of the art by original contributions that could contribute to an ongoing discussion on the statistical foundations of entropy, with a particular emphasis on non-conventional entropies that go significantly beyond Boltzmann, Gibbs, and Shannon paradigms. The accepted contributions addressed various aspects including information theoretic, thermodynamic and quantum aspects of complex systems and found several important applications of generalized entropies in various systems.
Research & information: general --- Mathematics & science --- ecological inference --- generalized cross entropy --- distributional weighted regression --- matrix adjustment --- entropy --- critical phenomena --- renormalization --- multiscale thermodynamics --- GENERIC --- non-Newtonian calculus --- non-Diophantine arithmetic --- Kolmogorov–Nagumo averages --- escort probabilities --- generalized entropies --- maximum entropy principle --- MaxEnt distribution --- calibration invariance --- Lagrange multipliers --- generalized Bilal distribution --- adaptive Type-II progressive hybrid censoring scheme --- maximum likelihood estimation --- Bayesian estimation --- Lindley’s approximation --- confidence interval --- Markov chain Monte Carlo method --- Rényi entropy --- Tsallis entropy --- entropic uncertainty relations --- quantum metrology --- non-equilibrium thermodynamics --- variational entropy --- rényi entropy --- tsallis entropy --- landsberg—vedral entropy --- gaussian entropy --- sharma—mittal entropy --- α-mutual information --- α-channel capacity --- maximum entropy --- Bayesian inference --- updating probabilities --- n/a --- Kolmogorov-Nagumo averages --- Lindley's approximation --- Rényi entropy --- rényi entropy --- landsberg-vedral entropy --- sharma-mittal entropy
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In the last two decades, the understanding of complex dynamical systems underwent important conceptual shifts. The catalyst was the infusion of new ideas from the theory of critical phenomena (scaling laws, renormalization group, etc.), (multi)fractals and trees, random matrix theory, network theory, and non-Shannonian information theory. The usual Boltzmann–Gibbs statistics were proven to be grossly inadequate in this context. While successful in describing stationary systems characterized by ergodicity or metric transitivity, Boltzmann–Gibbs statistics fail to reproduce the complex statistical behavior of many real-world systems in biology, astrophysics, geology, and the economic and social sciences.The aim of this Special Issue was to extend the state of the art by original contributions that could contribute to an ongoing discussion on the statistical foundations of entropy, with a particular emphasis on non-conventional entropies that go significantly beyond Boltzmann, Gibbs, and Shannon paradigms. The accepted contributions addressed various aspects including information theoretic, thermodynamic and quantum aspects of complex systems and found several important applications of generalized entropies in various systems.
ecological inference --- generalized cross entropy --- distributional weighted regression --- matrix adjustment --- entropy --- critical phenomena --- renormalization --- multiscale thermodynamics --- GENERIC --- non-Newtonian calculus --- non-Diophantine arithmetic --- Kolmogorov–Nagumo averages --- escort probabilities --- generalized entropies --- maximum entropy principle --- MaxEnt distribution --- calibration invariance --- Lagrange multipliers --- generalized Bilal distribution --- adaptive Type-II progressive hybrid censoring scheme --- maximum likelihood estimation --- Bayesian estimation --- Lindley’s approximation --- confidence interval --- Markov chain Monte Carlo method --- Rényi entropy --- Tsallis entropy --- entropic uncertainty relations --- quantum metrology --- non-equilibrium thermodynamics --- variational entropy --- rényi entropy --- tsallis entropy --- landsberg—vedral entropy --- gaussian entropy --- sharma—mittal entropy --- α-mutual information --- α-channel capacity --- maximum entropy --- Bayesian inference --- updating probabilities --- n/a --- Kolmogorov-Nagumo averages --- Lindley's approximation --- Rényi entropy --- rényi entropy --- landsberg-vedral entropy --- sharma-mittal entropy
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